In a parallelogram ABCD, point P lies in DC such that DP : PC = 3 : 2. If area of Δ DPB = 30 sq.cm, find the area of the parallelogram ABCD.

Given, DP : PC = 3 : 2 We know that, Ratio of the area of triangles with same vertex and bases along the same line is equal to the ratio of their respective bases. From figure, Area of Δ CDB = Area of Δ PCB + Area of Δ DPB = 20 + 30 = 50 cm 2 . Since, diagonal divides a || gm into two triangles of equal area. ∴ Area of || gm ABCD = 2 Area of Δ CDB = 2 × 50 = 100 cm 2 . Hence, area of \\\\ gm ABCD = 100 cm 2 .

View Answer Bookmark Now

The median of a triangle divides it into two:
triangles of equal area
congruent triangles
right triangles
isosceles triangles

View Answer Bookmark Now

The area of given parallelogram is:
AB x BM
BC x BN
DC x DL
AD x DL

View Answer Bookmark Now

Mathematics

In a parallelogram ABCD, point P lies in DC such that DP : PC = 3 : 2. If area of Δ DPB = 30 sq.cm, find the area of the parallelogram ABCD.

Theorems on Area

Related Questions

The median of a triangle divides it into two:
triangles of equal area
congruent triangles
right triangles
isosceles triangles

The area of given parallelogram is:
AB x BM
BC x BN
DC x DL
AD x DL

Mathematics

In a parallelogram ABCD, point P lies in DC such that DP : PC = 3 : 2. If area of Δ DPB = 30 sq.cm, find the area of the parallelogram ABCD.

Theorems on Area

Related Questions

The median of a triangle divides it into two:triangles of equal areacongruent trianglesright trianglesisosceles triangles

The area of given parallelogram is:AB x BMBC x BNDC x DLAD x DL

The median of a triangle divides it into two:
triangles of equal area
congruent triangles
right triangles
isosceles triangles

The area of given parallelogram is:
AB x BM
BC x BN
DC x DL
AD x DL